For each of the 1st-order differential equations, decide whether it is linear or

Question

For each of the 1st-order differential equations, decide whether it is linear or nonlinear.
If the equation is linear, state whether it is homogeneous or inhomogeneous.
(a) y' = ky
(b) y'= k(72- y)
(c) y'= y(4-y)
(d) y'= t + y
(e) 3y'+ 5y = 3 cos 2t
(f) 3y'+ 5y = 3 cos 2y
(g) y'= 4t^2y -sin t
(h) y' = 4ty^2-sin t

Thank You So Much!!! For each of the 1st-order differential equations, decide whether it is linear or nonlinear.
If the equation is linear, state whether it is homogeneous or inhomogeneous.
(a) y' = ky
(b) y'= k(72- y)
(c) y'= y(4-y)
(d) y'= t + y
(e) 3y'+ 5y = 3 cos 2t
(f) 3y'+ 5y = 3 cos 2y
(g) y'= 4t^2y -sin t
(h) y' = 4ty^2-sin t

Thank You So Much!!!

Explanation / Answer

a to e and g=> linear

f and h and i => Non linear

only 1 is homogeneous

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